The matrices can be written as Yi = ( 0 -ioi ioi 0 .). i = 1,2,3 · (59) -" 0 0-1 where σ; denotes a Pauli matrix and 1 the 2 x 2 unit matrix. (a) Show that they matrices satisfy the Clifford algebra {v} = 28, H, {1, 2, 3, 4}. (b) A different representation is the Weyl representation where 0 74= 1 ·(3). Show that these still satisfy the Clifford algebra. (c) Using only the Clifford algebra and properties of the trace show that tr() = 0, tr(μv) = 48μv, and tr(p) = 0.